-.25x^4+x^3=0

Solution for -.25x^4+x^3=0 equation:

Simplifying
-0.25x4 + x3 = 0

Reorder the terms:
x3 + -0.25x4 = 0

Solving
x3 + -0.25x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(1 + -0.25x) = 0

Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(1 + -0.25x)' equal to zero and attempt to solve:

Simplifying
1 + -0.25x = 0

Solving
1 + -0.25x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -0.25x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.25x = 0 + -1
-0.25x = 0 + -1

Combine like terms: 0 + -1 = -1
-0.25x = -1

Divide each side by '-0.25'.
x = 4

Simplifying
x = 4
Solution
x = {4}